






'''simple docstring'''







from pathlib import PurePosixPath
from typing import Optional

import fsspec
from fsspec import AbstractFileSystem
from huggingface_hub.hf_api import DatasetInfo

from ..utils.file_utils import get_authentication_headers_for_url
from ..utils.hub import hf_hub_url




class   __SCREAMING_SNAKE_CASE       (__A       ):


  """simple docstring"""


  _a  : str      			=     ''''''
  _a  : Union[str, Any]      			=     '''hf-legacy'''  # "hf://"" is reserved for hffs







  def __init__(			self   ,	UpperCamelCase__ = None   ,	UpperCamelCase__ = None   ,	**UpperCamelCase__   ,	):






         """simple docstring"""


         super().__init__(self   ,	**UpperCamelCase__	)
         a_						     =			repo_info
         a_						     =			token
         a_						     =			None







  def    _a       (			self	):






         """simple docstring"""


         if self.dir_cache is None:
                a_						     =			{}
                for hf_file in self.repo_info.siblings:
                       # TODO(QL): add sizes
                       a_						     =			{
                           'name': hf_file.rfilename,
                           'size': None,
                           'type': 'file',
                       }
                       self.dir_cache.update(
                           {
                               str(UpperCamelCase__	): {'name': str(UpperCamelCase__	), 'size': None, 'type': 'directory'}
                               for d in list(PurePosixPath(hf_file.rfilename	).parents	)[:-1]
                           }	)







  def    _a       (			self   ,	UpperCamelCase__   ,	UpperCamelCase__ = "rb"   ,	**UpperCamelCase__   ,	):






         """simple docstring"""


         if not isinstance(self.repo_info   ,	UpperCamelCase__	):
                raise NotImplementedError(f'Open is only implemented for dataset repositories, but got {self.repo_info}'	)
         a_						     =			hf_hub_url(self.repo_info.id   ,	UpperCamelCase__   ,	revision=self.repo_info.sha	)
         return fsspec.open(
             UpperCamelCase__   ,	mode=UpperCamelCase__   ,	headers=get_authentication_headers_for_url(UpperCamelCase__   ,	use_auth_token=self.token	)   ,	client_kwargs={'trust_env': True}   ,	).open()







  def    _a       (			self   ,	UpperCamelCase__   ,	**UpperCamelCase__	):






         """simple docstring"""


         self._get_dirs()
         a_						     =			self._strip_protocol(UpperCamelCase__	)
         if path in self.dir_cache:
                return self.dir_cache[path]
         else:
                raise FileNotFoundError(UpperCamelCase__	)







  def    _a       (			self   ,	UpperCamelCase__   ,	UpperCamelCase__=False   ,	**UpperCamelCase__	):






         """simple docstring"""


         self._get_dirs()
         a_						     =			PurePosixPath(path.strip('/'	)	)
         a_						     =			{}
         for p, f in self.dir_cache.items():
                a_						     =			PurePosixPath(p.strip('/'	)	)
                a_						     =			p.parent
                if root == path:
                       a_						     =			f
         a_						     =			list(paths.values()	)
         if detail:
                return out
         else:
                return sorted(f['name'] for f in out	)












'''simple docstring'''







from math import isqrt, loga


def       __UpperCamelCase					(      lowercase_       :  int   ):
       """simple docstring"""




       a_						     =			[True] * max_number
       for i in range(2   ,       isqrt(max_number - 1   ) + 1   ):
              if is_prime[i]:
                     for j in range(i**2   ,       lowercase_   ,       lowercase_   ):
                            a_						     =			False

       return [i for i in range(2   ,       lowercase_   ) if is_prime[i]]


def       __UpperCamelCase					(      lowercase_       :  int = 800_800   ,       lowercase_       :  int = 800_800   ):
       """simple docstring"""




       a_						     =			degree * loga(lowercase_   )
       a_						     =			int(lowercase_   )
       a_						     =			calculate_prime_numbers(lowercase_   )

       a_						     =			0
       a_						     =			0
       a_						     =			len(lowercase_   ) - 1
       while left < right:
              while (
                  prime_numbers[right] * loga(prime_numbers[left]   )
                  + prime_numbers[left] * loga(prime_numbers[right]   )
                  > upper_bound
              ):
                     right -= 1
              hybrid_integers_count += right - left
              left += 1

       return hybrid_integers_count


if __name__ == "__main__":
  print(f"""{solution() = }""")




